Exact Equations Intuition 1 (proofy) Chain rule using partial derivatives (not a proof; more ...
Linear Algebra: Transpose of a Matrix Transpose of a matrix
SAT Prep: Test 2 Section 3 part 1 Problems 1-4 starting on page 459
Linear Algebra: Determinant of Transpose Proof by induction that transposing a matrix does ...
Exact Equations Intuition 2 (proofy) More intuitive building blocks for exact equations.
Linear Algebra: Transpose of a Matrix Product Taking the transpose of the product of two matrices
SAT Prep: Test 2 Section 3 Part 2 Problems 5-8 starting on page 460
Linear Algebra: Transposes of sums and inverses Transposes of sums and inverses
Exact Equations Example 1 First example of solving an exact differential equation.
Linear Algebra: Transpose of a Vector Transpose of a column vector. Matrix-matrix products ...
Linear Algebra: Rowspace and Left Nullspace Rowspace and Left Nullspace
SAT Prep: Test 2 Section 3 Part 3 Questions 9-12 starting on page 461
Exact Equations Example 2 Some more exact equation examples
Lin Alg: Visualizations of Left Nullspace and Rowspace Relationship between left nullspace, ...
Linear Algebra: Orthogonal Complements Orthogonal Complements as subspaces.
Linear Algebra: Rank(A) = Rank(transpose of A) Rank(A) = Rank(transpose of A)
SAT Prep: Test 2 Section 3 Part 4 Problems 13-16 starting on page 462
Exact Equations Example 3 One more exact equation example
Linear Algebra: dim(V) + dim(orthogonoal complelent of V)=n Showing that if V is a subspace ...
SAT Prep: Test 2 Section 3 Part 5 Problems 17-19 starting on page 463
Lin Alg: Representing vectors in Rn using subspace members Showing that any member of Rn can ...
Integrating factors 1 Using an integrating factor to make a differential equation exact
Lin Alg: Orthogonal Complement of the Orthogonal Complement Finding that the orthogonal ...
Lin Alg: Orthogonal Complement of the Nullspace The orthogonal complement of the nullspace ...